You are here

Inversion in the Plane

Everyone knows the Pythagorean Theorem, and some may even know that, roughly, it has as many proofs as there are math fans around the world. Yet, do you know what
the most proof-abundant geometry theorem might be that is situated on the circle? And what might be its most profound yet super-clever proof that reduces it to a statement
a 3rd grader would have no trouble accepting? In this talk, we will delve into the method of Inversion in the Plane, which will not only solve this particular problem, but
will open up opportunities for attacking a whole array of geometry problems that would otherwise be close to impossible to solve. Inversion in the Plane was one of the
very first topics I learned while training on the Bulgarian team for the International Math Olympiads, and even to this day, it is still one of my favorite math topics that has
taught me to never assume any boundaries on human imagination. Standard geometry background, no calculus, and a certain amount of daring will be needed to engage in
the talk.